%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : FLD070-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:15:54 PM UTC 2026
% Result : Unsatisfiable 4.42s 1.47s
% Output : CNFRefutation 4.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of formulae : 26 ( 11 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 66 ( 34 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 29 ( 0 sgn 29 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( ~ defined(X0)
| sum(additive_identity,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).
fof(f19,axiom,
! [X0,X1] :
( ~ defined(X1)
| ~ defined(X0)
| sum(X0,X1,add(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',totality_of_addition) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ less_or_equal(X2,X1)
| ~ less_or_equal(X0,X2)
| less_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',transitivity_of_order_relation) ).
fof(f24,axiom,
! [X2,X3,X0,X1,X4] :
( ~ sum(X3,X4,X1)
| ~ sum(X2,X4,X0)
| ~ less_or_equal(X2,X3)
| less_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
fof(f29,negated_conjecture,
less_or_equal(additive_identity,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_3) ).
fof(f30,negated_conjecture,
less_or_equal(additive_identity,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_4) ).
fof(f31,negated_conjecture,
~ less_or_equal(additive_identity,add(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_5) ).
tcf(c_80,plain,
defined(a),
inference(cnf_transformation,[],[f27]) ).
tcf(c_81,plain,
defined(b),
inference(cnf_transformation,[],[f28]) ).
tcf(c_82,negated_conjecture,
less_or_equal(additive_identity,a),
inference(cnf_transformation,[],[f29]) ).
tcf(c_83,negated_conjecture,
less_or_equal(additive_identity,b),
inference(cnf_transformation,[],[f30]) ).
tcf(c_84,negated_conjecture,
~ less_or_equal(additive_identity,add(a,b)),
inference(cnf_transformation,[],[f31]) ).
tcf(c_86,plain,
! [X0: $i] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( less_or_equal(X2,X4)
| ~ less_or_equal(X0,X3)
| ~ sum(X3,X1,X4)
| ~ sum(X0,X1,X2) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i] :
( less_or_equal(X0,X2)
| ~ less_or_equal(X1,X2)
| ~ less_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i] :
( sum(X0,X1,add(X0,X1))
| ~ defined(X1)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_308,plain,
! [X0: $i] :
( less_or_equal(additive_identity,add(a,b))
| ~ less_or_equal(additive_identity,X0)
| ~ less_or_equal(X0,add(a,b)) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_313,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( less_or_equal(X3,add(a,b))
| ~ less_or_equal(X2,X0)
| ~ sum(X2,X1,X3)
| ~ sum(X0,X1,add(a,b)) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_320,plain,
( sum(a,b,add(a,b))
| ~ defined(b)
| ~ defined(a) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_375,plain,
! [X0: $i,X1: $i] :
( less_or_equal(X1,add(a,b))
| ~ less_or_equal(X0,a)
| ~ sum(X0,b,X1)
| ~ sum(a,b,add(a,b)) ),
inference(instantiation,[status(thm)],[c_313]) ).
tcf(c_443,plain,
( less_or_equal(b,add(a,b))
| ~ less_or_equal(additive_identity,a)
| ~ sum(additive_identity,b,b)
| ~ sum(a,b,add(a,b)) ),
inference(instantiation,[status(thm)],[c_375]) ).
tcf(c_444,plain,
( sum(additive_identity,b,b)
| ~ defined(b) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_845,plain,
( less_or_equal(additive_identity,add(a,b))
| ~ less_or_equal(additive_identity,b)
| ~ less_or_equal(b,add(a,b)) ),
inference(instantiation,[status(thm)],[c_308]) ).
tcf(c_846,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_845,c_444,c_443,c_320,c_84,c_82,c_83,c_80,c_81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD070-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.41 % Computer : n011.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Fri Sep 25 11:04:28 UTC 2026
% 0.16/0.41 % CPUTime :
% 0.16/0.41 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/0.47 Running first-order theorem proving
% 0.16/0.47 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.49
% 0.16/0.49 % ======== iProver multi-core TPTP/SMT =========
% 0.16/0.49
% 0.16/0.49 % Detected problem language: tptp
% 0.23/0.51 % Proving...
% 4.42/1.47 % SZS status Started for theBenchmark.p
% 4.42/1.47 % SZS status Unsatisfiable for theBenchmark.p
% 4.42/1.47
% 4.42/1.47 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.42/1.47
% 4.42/1.47 % ------ iProver source info
% 4.42/1.47
% 4.42/1.47 % git: date: 2026-07-19 20:42:38 +0200
% 4.42/1.47 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.42/1.47 % git: non_committed_changes: false
% 4.42/1.47
% 4.42/1.47 % ------ Parsing...% successful
% 4.42/1.47
% 4.42/1.47
% 4.42/1.47 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.42/1.47
% 4.42/1.47 % ------ Preprocessing... sf_s rm: 6 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.42/1.47
% 4.42/1.47 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.42/1.47 % ------ Proving...
% 4.42/1.47 % ------ Problem Properties
% 4.42/1.47
% 4.42/1.47 %
% 4.42/1.47 % clauses 16
% 4.42/1.47 % conjectures 3
% 4.42/1.47 % EPR 13
% 4.42/1.47 % Horn 15
% 4.42/1.47 % unary 6
% 4.42/1.47 % binary 2
% 4.42/1.47 % lits 38
% 4.42/1.47 % lits eq 0
% 4.42/1.47 % fd_pure 0
% 4.42/1.47 % fd_pseudo 0
% 4.42/1.47 % fd_cond 0
% 4.42/1.47 % fd_pseudo_cond 0
% 4.42/1.47 % AC symbols 0
% 4.42/1.47
% 4.42/1.47 % ------ Schedule dynamic 5 is on
% 4.42/1.47
% 4.42/1.47 % ------ no equalities: superposition off
% 4.42/1.47
% 4.42/1.47 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.42/1.47
% 4.42/1.47
% 4.42/1.47 % ------
% 4.42/1.47 % Current options:
% 4.42/1.47 % ------
% 4.42/1.47
% 4.42/1.47
% 4.42/1.47 %
% 4.42/1.47
% 4.42/1.47 % ------ Proving...
% 4.42/1.47 %
% 4.42/1.47
% 4.42/1.47 % SZS status Unsatisfiable for theBenchmark.p
% 4.42/1.47
% 4.42/1.47 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.42/1.48
% 4.42/1.48
%------------------------------------------------------------------------------